# Concurrent Force System - Definition, Types

By Mohit Uniyal|Updated : August 26th, 2022

Concurrent force systems are one of the force system categories in coplanar and non-coplanar force systems. Forces can be adjusted in a variety of ways. Different forces may have different configurations of their lines of action on the same object. When a combination of forces acts on an object, it is referred to as a "system of force" or "force system."

A force system can be roughly categorized into coplanar force systems and non-coplanar force systems based on the positioning of its forces' lines of action. There are numerous applications of the concurrent force system in engineering mechanics problems. In this article, we will study the definition, types, and conditions for equilibrium for a concurrent force system.

## What is Concurrent Force System?

The word "concurrent force system" has two main parts: "concurrent" and "force system". Here, concurrent implies that "the things criss-cross throughout a single point," whereas "force system" implies a "group of forces." The definition of a concurrent force system can be easily determined by merging the definitions of these two.

### Concurrent Force System Definition

A concurrent force system can be defined as, " When forces are applied to an object in such a way that their lines of action pass through a single point, they are referred to as concurrent forces."

## Types of Concurrent Force Systems

When a system of force on an object creates a concurrent system of force, then there are two possibilities for the line of action of the forces in the force system. All of the forces' lines of action may be in the same plane or may not be in the same plane. For the reasons stated above, the concurrent force system can be of two types:

1. Concurrent coplanar force system
2. Concurrent non-coplanar force system

### Concurrent Coplanar Force System

A group of forces in which the line of action of all the forces lies in the same plane and these pass through a common point is called a concurrent coplanar force system. A force system on the pin of a joint in a planar truss is an example of a concurrent coplanar force system. ### Concurrent Non-coplanar Force System

A concurrent non-coplanar force system is a group of forces whose lines of action do not all lie in the same plane but pass through a common point. A force system on the pin of a joint in a space truss (example: transmission tower) is an example of a concurrent non-coplanar force system. ## Concurrent Force System in Equilibrium

An object is in static equilibrium if the net force and the net moment about any point on the object due to forces are equal to zero. As we know, in a concurrent force system, all the forces' line of action passes through a common point. So if we consider the net moment at the point of concurrency, then the net moment will be zero.

In short, we can conclude that the net moment in a concurrent force system is always zero. To check the equilibrium condition of any object acted upon by a concurrent force system, we need to check for force equilibrium only. Equilibrium conditions for both types of concurrent systems are mentioned below.

 Type of System Condition for equilibrium Concurrent coplanar force system(in x-y plane) Fx=0, Fy=0 Concurrent non-coplanar force system Fx=0, Fy=0,Fz=0

 Important Topics for Gate Exam Data Hazard Degree of Freedom Delta Wye Transformation Difference Between Synchronous And Asynchronous Counter Direct Stress Ductile Material Elastic Constants Entity Set in DBMS Equilibrium of Rigid Body Factor of Safety

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## FAQs on Concurrent Force System

• A system of forces acting on an object in which the line of action of all forces passes through the same point is called a concurrent force system. The concurrent force system has several applications in engineering mechanics problems.

• A non-coplanar concurrent force system is a force system in which the lines of action of forces pass through a common point but do not have their lines of action in the same plane.

• As per the definition of a concurrent force system, the line of action of all forces in the force system should pass through a common point, but their lines of action may be in the same plane or may not be. So we can categorize the concurrent force systems into two types: concurrent coplanar force systems and concurrent non-coplanar force systems.

• In a concurrent coplanar force system, the line of action of all forces passes through a common point, so all the time the net moment due to the concurrent coplanar force system will be zero. We only need to check the force equilibrium in the plane. As a result, the equilibrium condition of a concurrent coplanar force system is; F_x = 0, F_y = 0.

• Forces on the lifting eye, forces at the pin of a planar truss and space trusses, forces at the hub of a ceiling fan, forces on the bob of a swinging pendulum, forces on an unbalanced rotor in a rotor shaft system, etc.

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